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Finding the Third Proportional to 3,617,123,933 and 7,757,609,611

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Solution

The third proportional to 3,617,123,933 and 7,757,609,611 is: 16,637,667,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617,123,933 : 7,757,609,611 = 7,757,609,611 : x
  2. Step 2: Convert to fraction form
    3,617,123,933/7,757,609,611 = 7,757,609,611/x
  3. Step 3: Cross multiply
    3,617,123,933x = 7,757,609,611 × 7,757,609,611
  4. Step 4: Simplify right side
    3,617,123,933x = 60,180,506,876,679,569,408
  5. Step 5: Solve for x
    x = 60,180,506,876,679,569,408/3,617,123,933
  6. Step 6: Final answer
    x = 16,637,667,934.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.